{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 非参数估计--K近邻估计\n",
    "### K近邻估计法基本思想：\n",
    "- 预先确定N的一个函数$k_N$，在x点近邻选择一个体积，使其不断增大直至捕获$k_N$个样本\n",
    "### 基本估计公式为：\n",
    "![K近邻](https://img-blog.csdn.net/20170613225949055)\n",
    "其中$V_N=h_N^d$,n代表样本容量。\n",
    "当样本容量$N\\rightarrow\\infty$满足一下三个条件时：\n",
    "1. $V_N=0$\n",
    "2. $k_N=\\infty$\n",
    "3. $k_N/V_N=0$时，p(X)收敛于真实分布。\n",
    "- 同时需要注意的是k_N大小的选择会影响估计的结果，一般我们取$k_N=k_1*\\sqrt{N}$。\n",
    "- 当样本容量$N\\rightarrow\\infty$时，最接近真实结果，所以我们一般取很大的N值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1200x1000 with 6 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def x_y_distance(x,y):\n",
    "    '''\n",
    "    K近邻估计法\n",
    "    :param x:输入点x\n",
    "    :param y:输入点y\n",
    "    :return: 两点间的欧式距离\n",
    "    '''\n",
    "    # d = 0\n",
    "    # dis = x - y\n",
    "    # for z in dis:\n",
    "    #     d += z ** 2\n",
    "    # distance = d**0.5\n",
    "    distance = np.sqrt(np.sum((x - y)*(x - y)))\n",
    "    return distance\n",
    "\n",
    "def knn_estimate(n,x,d):\n",
    "    '''\n",
    "    K近邻估计法\n",
    "    :param n:样本数量\n",
    "    :param x:横坐标\n",
    "    :param d:调节参数\n",
    "    :return: 概率密度\n",
    "    '''\n",
    "    Kn = int(math.sqrt(len(n)))\n",
    "    Px = []\n",
    "    q = Kn/len(n)\n",
    "    for i in x:\n",
    "        hn = []\n",
    "        for j in n:\n",
    "            distance = x_y_distance(i,j)\n",
    "            hn.append(distance)\n",
    "        hn.sort()\n",
    "        if Kn == 1:\n",
    "            Vn = (hn[Kn-1] * 2) ** d\n",
    "        else:\n",
    "            Vn = (hn[Kn] * 2) ** d\n",
    "        Px.append(q/Vn)   #计算公式\n",
    "    return np.array(Px)\n",
    "\n",
    "def get_N(n):\n",
    "    nn = np.random.normal(0,1,n).reshape([-1,1])\n",
    "    return nn\n",
    "\n",
    "\n",
    "if __name__ == '__main__':\n",
    "    X = np.arange(-5, 5, 0.1).reshape([-1, 1])#reshape([-1,1])将矩阵转化为一列\n",
    "    N = []\n",
    "    result = []\n",
    "    N_number = [1, 16, 256, 1024, 10000, 20000]\n",
    "    for i in range(6):\n",
    "        N_i = get_N(N_number[i])\n",
    "        N.append(N_i)\n",
    "\n",
    "    for i in range(6):\n",
    "        result_i = knn_estimate(N[i],X,d=1)\n",
    "        result.append(result_i)\n",
    "\n",
    "    fig, axes = plt.subplots(2,3, figsize=(12, 10),dpi=100)\n",
    "    ax = axes.ravel()\n",
    "    for i in range(0,6):\n",
    "        ax[i].plot(X,result[i])\n",
    "        ax[i].set_title('N={0}\\nKn={1}'.format(N_number[i],math.sqrt(N_number[i])))\n",
    "    # plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "生成均值为0，方差为1，长度为N的一维正态随机信号"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}